Alarcón-Waess O, Diaz-Herrera E, Gil-Villegas A
Departamento de Física y Matemáticas, UDLA, Puebla, Santa Catarina Martir, Cholula 72820 Puebla, Mexico.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 1):031401. doi: 10.1103/PhysRevE.65.031401. Epub 2002 Feb 7.
We have studied the orientational structure of a dipolar hard-spherical colloid on a homogeneous isotropic phase. The results are expressed as a function of the dipolar strength mu and volume fraction phi of dipolar colloids, and the refractive index of the scattering medium, n(s). The study is based on the self-correlation of the orientation density of the dipolar colloids, which is the static orientational structure factor [F(q)], where q is the wave vector. The importance of this quantity is that for very low phi values, it can be probed in a depolarized light scattering experiment. We have found that the structure of the suspension is better observed for high n(s). F(q) presents a different behavior for dilute and dense concentrations, it is also observed that the position of its minimum depends on phi. The response of a dipolar colloid due to its collective orientational behavior is also studied, using as an "ordering parameter" the static orientational structure factor at q=0[F(q=0)]. The study is performed for isochores as a function of mu. We have divided the analysis into five regimes, from very low to very high phi; values, i.e., phi=0.005 24, 0.1, 0.2, 0.35, and 0.45. Our analysis suggests that the dipolar colloid evolves to an orientationally ordered phase when the dipolar strength is increased, for all concentrations except for the lowest value case, phi=0.005 24. When phi=0.1 the dipolar colloid reaches the transition suddenly, whereas for the very low regime, the slope of F(q=0) first increases as if the dipolar colloid would evolve to an orientationally ordered phase; but near the transition the slope is inverted, resulting in a no global orientational order. Thus, our results suggest that in the very low regime a dipolar colloid may have a reentrant transition.
我们研究了偶极硬球胶体在均匀各向同性相中的取向结构。研究结果表示为偶极胶体的偶极强度μ、体积分数φ以及散射介质折射率n(s)的函数。该研究基于偶极胶体取向密度的自相关,即静态取向结构因子[F(q)],其中q为波矢。这个量的重要性在于,对于非常低的φ值,可以在去偏振光散射实验中进行探测。我们发现,对于高n(s)时,悬浮液的结构更容易被观察到。F(q)在稀浓度和浓浓度下呈现出不同的行为,还观察到其最小值的位置取决于φ。我们还研究了偶极胶体由于其集体取向行为的响应,将q = 0处的静态取向结构因子[F(q = 0)]用作“有序参数”。该研究针对等容线作为μ的函数进行。我们将分析分为五个区域,从非常低到非常高的φ值,即φ = 0.005 24、0.1、0.2、0.35和0.45。我们的分析表明,对于除最低值情况(φ = 0.005 24)之外的所有浓度,当偶极强度增加时,偶极胶体演变为取向有序相。当φ = 0.1时,偶极胶体突然达到转变,而对于非常低的区域,F(q = 0)的斜率首先增加,就好像偶极胶体将演变为取向有序相;但在转变附近,斜率反转,导致没有全局取向有序。因此,我们的结果表明,在非常低的区域,偶极胶体可能有一个重入转变。